The Connecticut Post reports William Stewart was charged Monday with risk of injury to children and disorderly conduct.
He is due in Superior Court on June 20.
Police say they began investigating the 39-year-old tutor in March after two 11-year-old female students at the Chapel Street Elementary School, complained.
Police say students described a game they say Stewart played, which involved spinning a piece of paper and offering them up to $250 to kiss him.
They say he offered one girl an iPod in exchange for a kiss.
A woman who answered the telephone at Stewart's Milford home said the family would not comment.